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Finding the Third Proportional to 393,784.50 and 594,276

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Solution

The third proportional to 393,784.50 and 594,276 is: 896,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,784.50 : 594,276 = 594,276 : x
  2. Step 2: Convert to fraction form
    393,784.50/594,276 = 594,276/x
  3. Step 3: Cross multiply
    393,784.50x = 594,276 × 594,276
  4. Step 4: Simplify right side
    393,784.50x = 353,163,964,176
  5. Step 5: Solve for x
    x = 353,163,964,176/393,784.50
  6. Step 6: Final answer
    x = 896,845.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.